a manhole cover ha diameter of 3 ft. What is the length of the brass grip-strip that encircles the cover ,making it easier to manage?

a manhole cover ha diameter of 3 ft. What is the length of the brass grip-strip that encircles the cover ,making it easier to manage?

Tutors, sign in to answer this question.

The length of the brass grip-strip that encircles the manhole cover is simply the circumference of the circle.

The circumference of a circle is solved by this formula: C = pi * D (which is the same as 2 * pi * r)

= 3.142 * 3 = 9.426 ft.

So the length is approximately 9.4( when rounded to 1 decimal place)

The length of the brass grip-strip that encircles the manhold cover represents the Circumference C of a circle which is given by the formula C = pi times (the length of the diameter). Since the manhold cover has a diameter of 3 ft = 36 in then its circumference is

C = ∏ × (3 ft) = 3∏ ft ≈ 9.42 ft

The length of the brass grip-strip that encircles the manhold cover approximately 9.42 ft or exactly 3∏ ft

This seems like you just want to figure out the circumference of the manhole cover. The formula for the circumference of a circle is pi (3.14) multiplied by the diameter (d) of the circle so, circumference=πd. (π is the symbol for pi and approx. equals 3.14)

Circumference = πd

= 3.14(d)

= 3.14(3)

= 9.42 ft.

The length of the brass grip-strip will be 9.42 ft.

If the problem was stated in terms of the radius of the manhole cover then the formula would be circumference = 2πr which is the radius multiplied by 2 then multiplied by pi.

The radius of a circle is the distance from the center to the edge and the diameter is the distance from one edge of the circle to the other passing through the center of the circle.

Robert C. | Dr. Robert can help you with Math and ScienceDr. Robert can help you with Math and Sc...

I'm no expert on manhole covers. I assume the brass grip-strip runs around the outside edge of the cover. The perimeter of the circular cover is the length of its outside edge. It is also known as its circumference.

Call C the the circumference and D the diameter. The formula that relates the two is:

C = π·D

Pi is a constant that is approximately 3.14159.

C = 3.14·3 ft

C = 9.4 ft

Well, if the grip strip were of no width and could be straightened out to a line (which a piece of rubber cut in a circle couldn't be), then the length of the grip would correspond to the circumference of the manhole cover.

Circumference = 2*PI*radius = PI*diameter so your answer is 3*PI feet long.

Crystal B. | Never Fear! Math is Here!Never Fear! Math is Here!

Since the definition of encircle is to form a circle around you are looking for the circumference of the brass grip. Circumference is equal to the diameter * pi. So pi * 3 ft = 9.425 ft. So the circumference is equal to 9.425 ft

Hope that helps!

Kevin S. |

If the brass strip encircles the cover, then it goes around the outside edge, or the circle's circumference.

The circumference of a circle **C** = πD or C = 2πr. (π = pi, or approximately 3.14)

Since the diameter is given, the C = πD = π(3) = 3π or approximately 3(3.14) = 9.42 feet.

Duy N. | IncipientWisdomIncipientWisdom

Which happens to be

πD, pi* Diameter

side note* Circumference/Diameter = pi

John R. | John R: Math, Science, and History TeacherJohn R: Math, Science, and History Teach...

The **length** of the brass grip-strap that encircles the cover should be the
**same as the circumference** of the manhole cover.

To find the circumference of the manhole cover, use the formula: Circumference = Pi X diameter

Circumference = 3.14 X 3 ft

Circumference = 9.42 ft

Note that I approximated Pi to 2 decimal places. You may need to use more or less digits in your answer depending on what your teacher asks for.

*Note, this answer now contains corrections for my boneheaded mistake. I tried to fix it earlier, question was temporarily removed.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Christopher D.

Mathematician and Programmer

$10 per 15 min

View Profile >

Rebecca D.

Experienced, Patient Tutor for Math, Reading & ACT

$10.75 per 15 min

View Profile >

Keri B.

Experienced and patient teacher: ESL, Algebra, K-6, and GED qualified

$10 per 15 min

View Profile >

## Comments

Somehow you missed the 2 in your formul for Circumference of a Circle Correct formula: C = 2 x pi x r = pi x D r = radius and D = Diameter

Surely you mean pi times diameter, not radius.

Sorry. As many of you have pointed out, I got the formula confused. As everyone else has stated the formula is Circumference=Pi X diameter.

I actually tried to fix it this morning, but the post was removed.

The answer is 9.42 ft, not 4.71 ft.